Numerical Continuum Mechanics

This work focuses on computational methods in continuum thermomechanics. The text is based on the author's lectures, which ensures a didactical and coherent buildup. The main emphasis is put on the presentation of ideas and qualitative considerations, illustrated by specific examples and applications. Conditions and explanations that are essential for the practical application of methods are discussed thoroughly.

Auteur

Vladimir N. Kukudzhanov, Ishlinsky Institute for Problems in Mechanics, Russia.

Texte du rabat
The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.

Contenu
PrefaceNotation Part I. Basic equations of continuum mechanicsChapter 1. Basic equations of continuum media Part II. Theory of finite-difference schemesChapter 2. The basics of the theory of finite-difference schemesChapter 3. Methods for solving systems of algebraic equationsChapter 4. Methods for solving boundary value problems for systems of differential equations Part III. Finite-difference methods for solving nonlinear evolution equations of continuummechanicsChapter 5. Wave propagation problemsChapter 6. Finite-difference splitting method for solving dynamic and quasistatic boundary valueproblemsChapter 7. Solution of elastoplastic dynamic and quasistatic problems with finite deformations References